Welcome to the website of researchers working in Bilbao (either at UPV/EHU or at BCAM) in mathematical analysis, partial differential equations, inverse problems, mathematical physics, and/or related topics.
BCAM, Thursday, January 8th, 2026, 17:00--18:00
Title: Maximal averages over hypersurfaces
Sewook Oh - KIAS, South Korea
Stein's spherical maximal function can be generalized to maximal averages over general hypersurfaces. Although this topic has been extensively studied, many problems still remain open.
In this talk, I will present Lp estimates for maximal averages associated to hypersurfaces, with particular emphasis on their relationship to the decay rate of the Fourier transform of measures supported on the hypersurfaces.